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Phylogenetic trees are simple models of evolutionary processes. They describe conditionally independent divergent evolution of taxa from common ancestors. Phylogenetic trees commonly do not have enough flexibility to adequately model all…

Populations and Evolution · Quantitative Biology 2025-11-11 Jonathan D. Mitchell , Barbara R. Holland

Computational inference of dated evolutionary histories relies upon various hypotheses about RNA, DNA, and protein sequence mutation rates. Using mutation rates to infer these dated histories is referred to as molecular clock assumption.…

Populations and Evolution · Quantitative Biology 2021-01-11 Lena Collienne , Kieran Elmes , Mareike Fischer , David Bryant , Alex Gavryushkin

Estimation of molecular evolutionary divergence times requires models of rate change. These vary with regard to the assumption of what quantity is penalized. The possibilities considered are the rate of evolution, the log of the rate of…

Genomics · Quantitative Biology 2007-12-31 Peter J Waddell

Phylogenetic mixtures model the inhomogeneous molecular evolution commonly observed in data. The performance of phylogenetic reconstruction methods where the underlying data is generated by a mixture model has stimulated considerable recent…

Populations and Evolution · Quantitative Biology 2007-06-30 Frederick A. Matsen , Mike Steel

Reticulate evolutionary processes result in phylogenetic histories that cannot be modeled using a tree topology. Here, we apply methods from topological data analysis to molecular sequence data with reticulations. Using a simple example, we…

Quantitative Methods · Quantitative Biology 2015-11-05 Kevin Emmett , Raul Rabadan

Observations that rates of molecular evolution vary widely within and among lineages have cast doubts upon the existence of a single molecular clock. Differences in the timing of evolutionary events estimated from genetic and fossil…

Populations and Evolution · Quantitative Biology 2007-05-23 James F. Gillooly , Andrew P. Allen , Geoffrey B. West , James H. Brown

Phylogenetic mixture models, in which the sites in sequences undergo different substitution processes along the same or different trees, allow the description of heterogeneous evolutionary processes. As data sets consisting of longer…

Populations and Evolution · Quantitative Biology 2012-07-17 Elizabeth S. Allman , John A. Rhodes , Seth Sullivant

Phylogenetic networks describe the evolution of a set of taxa for which reticulate events have occurred at some point in their evolutionary history. Of particular interest is when the evolutionary history between a set of just three taxa…

Populations and Evolution · Quantitative Biology 2024-09-27 Shelby Cox , Elizabeth Gross , Samuel Martin

Divergence time estimation requires the reconciliation of two major sources of data. These are fossil and/or biogeographic evidence that give estimates of the absolute age of nodes (ancestors) and molecular estimates that give us estimates…

Populations and Evolution · Quantitative Biology 2008-12-31 Peter J Waddell

Phylogenetic comparative methods (PCMs) are widely used to study trait evolution. However, many evolutionary histories involve reticulate evolutionary scenarios, such as hybridization, that violate core assumptions of these methods. In this…

Populations and Evolution · Quantitative Biology 2026-03-30 Lydia Morley , Emma Lehmberg , Sungsik Kong

The reconstruction of a species phylogeny from genomic data faces two significant hurdles: 1) the trees describing the evolution of each individual gene--i.e., the gene trees--may differ from the species phylogeny and 2) the molecular…

Machine Learning · Computer Science 2017-07-17 Gautam Dasarathy , Elchanan Mossel , Robert Nowak , Sebastien Roch

The number of fixed mutations accumulated in an evolving population often displays a variance that is significantly larger than the mean (the overdispersed molecular clock). By examining a generic evolutionary process on a neutral network…

Populations and Evolution · Quantitative Biology 2009-11-13 Alpan Raval

Comparative and evolutive ecologists are interested in the distribution of quantitative traits among related species. The classical framework for these distributions consists of a random process running along the branches of a phylogenetic…

Applications · Statistics 2017-08-24 Paul Bastide , Mahendra Mariadassou , Stéphane Robin

To understand biological diversification, it is important to account for large-scale processes that affect the evolutionary history of groups of co-distributed populations of organisms. Such events predict temporally clustered divergences…

Populations and Evolution · Quantitative Biology 2014-08-11 Jamie R. Oaks

Search for possible relationships between phylogeny and ontogeny is one of the most important issues in the field of evolutionary developmental biology. By representing developmental dynamics of spatially located cells with gene expression…

Populations and Evolution · Quantitative Biology 2015-04-01 Takahiro Kohsokabe , Kunihiko Kaneko

Different sources of information might tell different stories about the evolutionary history of a given set of species. This leads to (rooted) phylogenetic trees that "disagree" on triples of species, which we call "conflict triples". An…

Data Structures and Algorithms · Computer Science 2019-11-26 Mathias Weller

We compare the phylogenetic tensors for various trees and networks for two, three and four taxa. If the probability spaces between one tree or network and another are not identical then there will be phylogenetic tensors that could have…

Populations and Evolution · Quantitative Biology 2016-06-24 Jonathan Mitchell

Developmental constraints have been postulated to limit the space of feasible phenotypes and thus shape animal evolution. These constraints have been suggested to be the strongest during either early or mid-embryogenesis, which corresponds…

Populations and Evolution · Quantitative Biology 2013-03-14 Barbara Piasecka , Pawel Lichocki , Sebastien Moretti , Sven Bergmann , Marc Robinson-Rechavi

Phylogenetics uses alignments of molecular sequence data to learn about evolutionary trees relating species. Along branches, sequence evolution is modelled using a continuous-time Markov process characterised by an instantaneous rate…

We study the Tangled Nature model of macro evolution and demonstrate that the co-evolutionary dynamics produces an increasingly correlated core of well occupied types. At the same time the entire configuration of types becomes increasing…

Statistical Mechanics · Physics 2015-03-13 Dominic Jones , Henrik Jeldtoft Jensen , Paolo Sibani
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